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On Fuzzy Solutions to a Class of Fuzzy Multi-objective Linear Optimization Problems

In: Advances in Operational Research in the Balkans

Author

Listed:
  • Bogdana Stanojević

    (Mathematical Institute of the Serbian Academy of Sciences and Arts)

  • Milan Stanojević

    (University of Belgrade)

Abstract

The class of fuzzy multi-objective linear optimization problems with fuzzy coefficientsFuzzy coefficients in the objective functions is addressed in this paper. We introduce a parametric approach that helps to compute the membership values of the extreme points in the fuzzy set solution to such problems. We analyze the efficiency of the feasible basic solutions to a parametric multi-objective linear programming problem through the optimality test in a related linear programming problem. The particular case of triangular fuzzy numbers is presented in detail, and the possible degeneracy of the basic feasible solutions is handled. This paper is a continuation of our work on special classes of fuzzy optimization problems. Previously single-objective (linear and linear fractional) optimizationOptimization problems with fuzzy coefficientsFuzzy coefficients in the objective functions were successfully solved.

Suggested Citation

  • Bogdana Stanojević & Milan Stanojević, 2020. "On Fuzzy Solutions to a Class of Fuzzy Multi-objective Linear Optimization Problems," Springer Proceedings in Business and Economics, in: Nenad Mladenović & Angelo Sifaleras & Marija Kuzmanović (ed.), Advances in Operational Research in the Balkans, pages 63-76, Springer.
    • Handle: RePEc:spr:prbchp:978-3-030-21990-1_4
    DOI: 10.1007/978-3-030-21990-1_4
    as

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